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Finding the Fourth Proportional to 6,365.71, 9,542.19 and 3,028.11

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Solution

The fourth proportional to 6,365.71, 9,542.19 and 3,028.11 is: 4,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.71 : 9,542.19 = 3,028.11 : x
  2. Step 2: Convert to fraction form
    6,365.71/9,542.19 = 3,028.11/x
  3. Step 3: Cross multiply
    6,365.71x = 9,542.19 × 3,028.11
  4. Step 4: Simplify right side
    6,365.71x = 28,894,800.96
  5. Step 5: Solve for x
    x = 28,894,800.96/6,365.71
  6. Step 6: Final answer
    x = 4,539.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.